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            <small>
              <a href="#Procedure">Procedure<br></a>
              <a href="#Abstract">Abstract<br></a>
              <a href="#Required_Reading">Required_Reading<br></a>
              <a href="#Keywords">Keywords<br></a>
              <a href="#Brief_I/O">Brief_I/O<br></a>
              <a href="#Detailed_Input">Detailed_Input<br></a>

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              <small>               <a href="#Detailed_Output">Detailed_Output<br></a>
              <a href="#Parameters">Parameters<br></a>
              <a href="#Exceptions">Exceptions<br></a>
              <a href="#Files">Files<br></a>
              <a href="#Particulars">Particulars<br></a>
              <a href="#Examples">Examples<br></a>

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              <small>               <a href="#Restrictions">Restrictions<br></a>
              <a href="#Literature_References">Literature_References<br></a>
              <a href="#Author_and_Institution">Author_and_Institution<br></a>
              <a href="#Version">Version<br></a>
              <a href="#Index_Entries">Index_Entries<br></a>
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<h4><a name="Procedure">Procedure</a></h4>
<PRE>
   SpiceDouble vdist_c ( ConstSpiceDouble v1[3],
                         ConstSpiceDouble v2[3] )

</PRE>
<h4><a name="Abstract">Abstract</a></h4>
<PRE>
   Return the distance between two three-dimensional vectors.
</PRE>
<h4><a name="Required_Reading">Required_Reading</a></h4>
<PRE>
   None.
</PRE>
<h4><a name="Keywords">Keywords</a></h4>
<PRE>
   VECTOR


</PRE>
<h4><a name="Brief_I/O">Brief_I/O</a></h4>
<PRE>
   Variable  I/O  Description
   --------  ---  --------------------------------------------------

   v1,
   v2         I   Two 3-vectors.

   The function returns the distance between v1 and v2.
</PRE>
<h4><a name="Detailed_Input">Detailed_Input</a></h4>
<PRE>
   v1,
   v2         are two vectors in three-dimensional space, the
              distance between which is desired.
</PRE>
<h4><a name="Detailed_Output">Detailed_Output</a></h4>
<PRE>
   The function returns the distance between v1 and v2.  This is
   defined as

            ||  v1 - v2  ||,

   where || x || indicates the Euclidean norm of the vector x.
</PRE>
<h4><a name="Parameters">Parameters</a></h4>
<PRE>
   None.
</PRE>
<h4><a name="Exceptions">Exceptions</a></h4>
<PRE>
   Error free.
</PRE>
<h4><a name="Files">Files</a></h4>
<PRE>
   None.
</PRE>
<h4><a name="Particulars">Particulars</a></h4>
<PRE>
   This function is simply shorthand for the code

      <a href="vsub_c.html">vsub_c</a> ( v1, v2, diff );

      dist = <a href="vnorm_c.html">vnorm_c</a> ( diff );

   Using this function saves you the annoyance of declaring local
   storage for the difference vector diff.


   The Euclidean norm of a three-dimensional vector (x, y, z) is
   defined as

                                   1/2
           2        2        2
      (   x    +   y    +   z    ).


   This number is the distance of the point (x, y, z) from the
   origin.  If A and B are two vectors whose components are

      ( A(1), A(2), A(3) )    and    ( B(1), B(2), B(3) ),

   then the distance between A and B is the norm of the difference
   A - B, which has components


      (  A(1) - B(1),  A(2) - B(2),  A(3) - B(3)  ).


   A related routine is vdistg_, which computes the distance between
   two vectors of general dimension.
</PRE>
<h4><a name="Examples">Examples</a></h4>
<PRE>
   1)  If v1 is

          ( 2.0,  3.0,  0. )

       and v2 is

          ( 5.0,  7.0,  12. ),

       <b>vdist_c</b> (v1, v2) will be 13..


   2)  If VGR2 and NEP are states of the Voyager 2 spacecraft and
       Neptune with respect to some common center at a given time
       ET, then

          <b>vdist_c</b> ( VGR2, NEP )

       yields the distance between the spacecraft and Neptune at time
       ET.
</PRE>
<h4><a name="Restrictions">Restrictions</a></h4>
<PRE>
   None.
</PRE>
<h4><a name="Literature_References">Literature_References</a></h4>
<PRE>
   None.
</PRE>
<h4><a name="Author_and_Institution">Author_and_Institution</a></h4>
<PRE>
   N.J. Bachman   (JPL)
</PRE>
<h4><a name="Version">Version</a></h4>
<PRE>
   -CSPICE Version 1.2.0, 22-OCT-1998 (NJB)

      Made input vectors const.  Removed #include of SpiceZfc.h.

   -CSPICE Version 1.1.0, 06-MAR-1998   (EDW)

      Removed non printing character.

   -CSPICE Version 1.0.0, 08-FEB-1998   (EDW)
</PRE>
<h4><a name="Index_Entries">Index_Entries</a></h4>
<PRE>
   distance between 3-dimensional vectors
</PRE>
<h4>Link to routine vdist_c source file <a href='../../../src/cspice/vdist_c.c'>vdist_c.c</a> </h4>

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   <pre>Wed Jun  9 13:05:32 2010</pre>

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